abstract

• An analog electronic implementation by means of operational amplifiers of a class of hybrid dissipative systems in R3 is presented. The switching systems have two unstable hyperbolic focus-saddle equilibria with the same stability index, a positive real eigenvalue and a pair of complex conjugated eigenvalues with negative real part. The analog circuit generates signals that oscillate in an attractor located between the two unstable equilibria, and may present saturation states at the moment of energizing it, i.e. if the initial voltage on the capacitors do not belong to the basin of attraction the circuit will end on a saturation state. © 2016 World Scientific Publishing Company.

authors

• Campos E.
• Femat R.
• Ontañón García Pimentel Luis Javier

publication date

• 2016-01-01

published in

• International Journal of Bifurcation and Chaos  Journal

keywords

• analog computation; chaos; Electronic implementation; hybrid systems; piecewise linear systems Analog computers; Chaos theory; Eigenvalues and eigenfunctions; Hybrid systems; Linear systems; Piecewise linear techniques; Analog computation; Analog electronics; Basin of attraction; Dissipative systems; Electronic implementations; Piece-wise linear systems; Saturation state; Stability indices; Operational amplifiers

Digital Object Identifier (DOI)

• 10.1142/S0218127416500188

start page

end page

volume

• 26

issue

• 1